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Finding the Fourth Proportional to 203,295.24, 305,139.90 and 98,188.20

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Solution

The fourth proportional to 203,295.24, 305,139.90 and 98,188.20 is: 147,377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,295.24 : 305,139.90 = 98,188.20 : x
  2. Step 2: Convert to fraction form
    203,295.24/305,139.90 = 98,188.20/x
  3. Step 3: Cross multiply
    203,295.24x = 305,139.90 × 98,188.20
  4. Step 4: Simplify right side
    203,295.24x = 29,961,137,529.18
  5. Step 5: Solve for x
    x = 29,961,137,529.18/203,295.24
  6. Step 6: Final answer
    x = 147,377.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.